x+2/4=2x-4/x-2

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Solution for x+2/4=2x-4/x-2 equation: 


D( x )

x = 0

x = 0

x = 0

x in (-oo:0) U (0:+oo)

x+2/4 = 2*x-(4/x)-2 // - 2*x-(4/x)-2

x-(2*x)+4/x+2/4+2 = 0

x-2*x+4/x+2/4+2 = 0

4*x^-1-1*x^1+5/2*x^0 = 0

(5/2*x^1-1*x^2+4*x^0)/(x^1) = 0 // * x^2

x^1*(5/2*x^1-1*x^2+4*x^0) = 0

x^1

(5/2)*x-x^2+4 = 0

(5/2)*x-x^2+4 = 0

DELTA = (5/2)^2-(-1*4*4)

DELTA = 89/4

DELTA > 0

x = ((89/4)^(1/2)-(5/2))/(-1*2) or x = (-(5/2)-(89/4)^(1/2))/(-1*2)

x = ((89/4)^(1/2)-5/2)/(-2) or x = ((89/4)^(1/2)+5/2)/2

x in { ((89/4)^(1/2)-5/2)/(-2), ((89/4)^(1/2)+5/2)/2} 

x in { ((89/4)^(1/2)-5/2)/(-2), ((89/4)^(1/2)+5/2)/2 }

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